127472476800 has 384 divisors, whose sum is σ = 448835022720. Its totient is φ = 31719424000.

The previous prime is 127472476793. The next prime is 127472476801. The reversal of 127472476800 is 8674274721.

127472476800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 127472476800.

It is not an unprimeable number, because it can be changed into a prime (127472476801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9045760 + ... + 9059840.

It is an arithmetic number, because the mean of its divisors is an integer number (1168841205).

Almost surely, 2^127472476800 is an apocalyptic number.

127472476800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127472476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224417511360).

127472476800 is an abundant number, since it is smaller than the sum of its proper divisors (321362545920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127472476800 is a wasteful number, since it uses less digits than its factorization.

127472476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14172 (or 14155 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 127472476800 in words is "one hundred twenty-seven billion, four hundred seventy-two million, four hundred seventy-six thousand, eight hundred".